5(x-2)+x=6(8+3)-4x

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Solution for 5(x-2)+x=6(8+3)-4x equation:


Simplifying
5(x + -2) + x = 6(8 + 3) + -4x

Reorder the terms:
5(-2 + x) + x = 6(8 + 3) + -4x
(-2 * 5 + x * 5) + x = 6(8 + 3) + -4x
(-10 + 5x) + x = 6(8 + 3) + -4x

Combine like terms: 5x + x = 6x
-10 + 6x = 6(8 + 3) + -4x

Combine like terms: 8 + 3 = 11
-10 + 6x = 6(11) + -4x

Multiply 6 * 11
-10 + 6x = 66 + -4x

Solving
-10 + 6x = 66 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
-10 + 6x + 4x = 66 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-10 + 10x = 66 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 10x = 66 + 0
-10 + 10x = 66

Add '10' to each side of the equation.
-10 + 10 + 10x = 66 + 10

Combine like terms: -10 + 10 = 0
0 + 10x = 66 + 10
10x = 66 + 10

Combine like terms: 66 + 10 = 76
10x = 76

Divide each side by '10'.
x = 7.6

Simplifying
x = 7.6

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